3) Observed number of flood events in A, B and C regions within a 100-year period is given below.
Number of floods 0 1 2 3 4 5 6
Region A 52 28 12 5 2 1 0
Region B 5 14 27 24 18 10 2
Region C 12 35 24 16 8 4 1
a) For each region, find the probability of occurrence of at least 3 floods in one year.
b) For each region, find the probability of occurrence of fewer than 5 floods in one year.
c) Find the probability of occurrence of at most 2 flood events in the next 5 years.